In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in th Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. At five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for Januar and April are recorded below. Weather Station 1 2 3 4. January April 139 120 126 64 78 104 111 100 88 61 Does this information indicate that the peak wind gusts are higher in January than in April? Use a = 0.01. (Let d = January A (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? OH: H 0; Hi Hg = 0; right-tailed O H: H= 0; H,: < 0; left-tailed O H: = 0; H,: 4# 0; two-tailed O H,: H = 0; H: H> 0; right-tailed (b) What sampling distribution will you use? What assumptions are you making? O The Student's t. We assume that d has an approximately normal distribution. O The Student's t. We assume that d has an approximately uniform distribution. O The standard normal. We assume that d has an approximately normal distribution. O The standard normal. We assume that d has an approximately uniform distribution. What is the value of the sample test statistic? (Round your answer to three decimal places.)

Q: B) C) 4 B. 6. 12

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A: We have to find angle

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A: In this question we have to find value of x.

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A: As the first question is already solved correctly we can solve the other two question as below.

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A: Given, A=2-104-29,   B=0-93-1-31324,  C=601-6-11,D=-2-30141     We will compute c)  trace(BD) d)…

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A: Try to observe the logic behind the changes occurring in successive terms.

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.